1613977344 has 432 divisors, whose sum is σ = 5867097600. Its totient is φ = 416047104.

The previous prime is 1613977327. The next prime is 1613977381. The reversal of 1613977344 is 4437793161.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1613977344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7047822 + ... + 7048050.

Almost surely, 2^1613977344 is an apocalyptic number.

1613977344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933548800).

1613977344 is an abundant number, since it is smaller than the sum of its proper divisors (4253120256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1613977344 is a wasteful number, since it uses less digits than its factorization.

1613977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 1613977344 is about 40174.3368831397. The cubic root of 1613977344 is about 1173.0030590161.

The spelling of 1613977344 in words is "one billion, six hundred thirteen million, nine hundred seventy-seven thousand, three hundred forty-four".